
Product Power Property
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
23 Slides • 17 Questions
1
2
Words: when multiplying like bases, add the exponents
Symbols: (xa)(xb) = xa+b
Numbers: (83)(86) = 89
3
The product rule states that when multiplying two numbers with the same base, you can add their exponents:
4
Poll
My level of understanding
(left to right, NO: I don't get it at all, Whoops: need some help but I'm starting to understand, Nailed It: I can do this on my own.
5
Multiple Choice
(2m3)(3m4) =
5m7
6m12
5m12
6m7
6
Words: when a power (base with exponent) is raised to another power (exponent), you multiply the exponents (keep the base!)
Symbols: (xa)b= xab
Numbers: (83)6=818
7
Multiple Choice
Simplify:
(23)4
64
83
27
212
8
Multiple Choice
Simplify
(3a2c)3
9a6c3
27a5c3
27a6c3
9a5c3
9
10
11
12
Fill in the Blanks
What is (38k)0?
Type answer...
13
14
15
16
17
18
Words: when a power (base with exponent) is raised to another power (exponent), you multiply the exponents (keep the base!)
Symbols: (xa)b= xab
Numbers: (83)6=818
19
20
21
22
23
Multiple Choice
Simplify:
5457
511
13
53
24
25
26
Multiple Choice
Now it's your turn. (2ab)3=?
2xy
2x3y3
8xy
8x3y3
27
28
Multiple Choice
Now it is your turn. (t6)9=?
t15
t3
t−3
t31
t54
29
Multiple Choice
Your turn. What is (2x)3(2x)5=?
4x2
8x2
1
16x8
30
Simplify the following:
31
Simplify the following:
32
Multiple Choice
Parentheses mean multiplication too....
Simplify:
(4m2)(8m5)
12m7
32m7
32m10
12m10
33
Fill in the Blanks
To simplify, you need to
Type answer...
(45)10
34
Multiple Choice
Simplify:
(−x5y2)4
8x12y6
256
x20y8
256x8y201
35
Multiple Choice
Mix the properties!! Simplify:
10m4(2m3)2
**PEMDAS always applies**
40m10
20m10
20m9
40m9
36
Poll
How well do you understand properties of exponents?
Very well!
I mostly understand the problems.
I still need practice.
Not well!
37
Multiple Choice
Simplify
(xy5)2
x2y10
x2y3
xy3
xy10
38
39
Match
Match the following with their simplified answer.
x2x4
x−5
(xx3)−2
(x100)0
(x−31)4
x2
1
x12
x2
x51
x41
1
x12
40
Poll
My level of understanding
(left to right, NO: I don't get it at all, Whoops: need some help but I'm starting to understand, Nailed It: I can do this on my own.
Show answer
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